Circle 2 Question 18

19. A circle touches the line L and the circle C1 externally such that both the circles are on the same side of the line, then the locus of centre of the circle is

(a) ellipse

(b) hyperbola

(c) parabola

(d) parts of straight line

Show Answer

Answer:

Correct Answer: 19. (c)

Solution:

  1. Let C be the centre of the required circle.

Now, draw a line parallel to L at a distance of r1 (radius of C1 ) from it.

Now, CC1=AC⇒C lies on a parabola.

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